Problem #55: Carnival Dice
A carnival game offers you the opportunity to bet $1 on a number from
1 through 6 on a single roll of the two dice.
If your number comes up on one die, you win $2 and keep th $1 you be.
If it comes on both dice, you win $5 and keep the $1 you bet. Only if
the number does not appear on either die do you lose your $1 bet.
Does this game favor you or the carnival?